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Complements of Mathematics

A.Y. 2019/2020
6
Max ECTS
64
Overall hours
SSD
MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Language
Italian
Learning objectives
The aim of the course is to allow the students to understand the mathematical universe in higher dimensions than one. This is done from the point of view of both Geometry and Analysis, by paying a special attention to the geometry of linear operators and the optimization of non-linear functions.
Expected learning outcomes
Students must be able to understand how linear operators act on Eclidean spaces, and moreover how to formulate and solve some selected optimizations problems.

Lesson period: Second semester

Lessons timetable

Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi

Exams calendar

Single course

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Course syllabus and organization

Edition Crema

Lesson period
Second semester
Course syllabus
Purpose of the numerical calculation. Errors, conditioning, representation of numbers on the calculator. Numerical solution of nonlinear equations. Numerical solution of linear systems, direct and iterative methods. Interpolation and approximation of functions and data. Numerical integration. Eigenvalue and eigenvector approximation. Numerical approximation of ODE.
Prerequisites for admission
It is recommended to pass the exam: Matematica del discreto, Matematica del continuo.
Teaching methods
The lessons alternate between theoretical, practical related to the performance of exercises on the theoretical concepts learned and laboratory with the help of the Matlab software. Slides and handouts are foreseen.
Teaching Resources
A. Quarteroni, F. Saleri: Introduzione al calcolo scientifico: esercizi e problemi risolti con MATLAB.
Milano, Springer 2004, seconda edizione.
- A. Quarteroni, R. Sacco, F. Saleri: Matematica Numerica. Milano, Springer 2000.
- V. Comincioli: Analisi numerica: metodi, modelli, applicazioni. Milano, McGraw-Hill Libri Italia
1995.
- G. Naldi, L. Pareschi: MATLAB Concetti e progetti. Milano, Apogeo 2002.
Assessment methods and Criteria
The exam consists in passing a written test and a practical test. The written test is based on the performance of exercises and theoretical questions to evaluate the knowledge acquired, the practical test is based on application exercises with the help of Matlab.
MAT/01 - MATHEMATICAL LOGIC
MAT/02 - ALGEBRA
MAT/03 - GEOMETRY
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS
MAT/05 - MATHEMATICAL ANALYSIS
MAT/06 - PROBABILITY AND STATISTICS
MAT/07 - MATHEMATICAL PHYSICS
MAT/08 - NUMERICAL ANALYSIS
MAT/09 - OPERATIONS RESEARCH
Practicals: 48 hours
Lessons: 16 hours
Professor: Polimeni Vittoria
Shifts:
-
Professor: Polimeni Vittoria